UNCERTAINTY RELATED WITH THE USE OF LINEAR REGRESSION ANALYSIS FOR THE CORRECTION OF CALIBRATED INSTRUMENTS
A. S. Ribeiro, J. O. Mimoso, J. A. Sousa, M. P. Castro
Abstract:
Linear Regression Analysis (LRA) is a technique commonly applied in many different branches of science. The present study investigates the use of LRA in Metrology and aims to develop a mathematical approach to adequately take into account its contribution for the uncertainty budget in a measurement.
In a calibration involving many standards and measuring instruments, the LRA technique is an important tool for the estimation of conventional true values based on certificate results. This statistical treatment usually intends to reduce the errors measured in the calibration process in order to achieve lower residual errors. The operation, however, introduces statistical uncertainties, which can be of significance when compared with the uncertainty contributions from other input quantities.
This document also presents the results of a measurement uncertainty evaluation related to the calibration of a length measuring machine, including the LRA contribution based on the application of the mathematical expression proposed. The relative influence of this contribution is also investigated.
Keywords:
Calibration, Linear Regression Analysis, Measurement Uncertainty
Download:
PWC-2003-TC8-021.pdf
DOI:
-
Event details
Event name:
XVII IMEKO World Congress
Title:

Metrology in the 3rd Millennium

Place:
Dubrovnik, CROATIA
Time:
22 June 2003 - 28 June 2003
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